An Accelerated Homotopy Perturbation Method for Solving Nonlinear Two-Dimensional Volterra-Fredholm Integrodifferential Equations

الملخص EN

We propose and apply coupling of the variational iteration method (VIM) and homotopy perturbation method (HPM) to solve nonlinear mixed Volterra-Fredholm integrodifferential equations (VFIDE).

In this approach, we use a new formula called variational homotopy perturbation method (VHPM) and variational accelerated homotopy perturbation method (VAHPM).

This approach is based on the form of He’s polynomials and on a new form of He’s polynomials.

We discuss the convergence of the technique.

Some numerical examples are introduced to verify the efficiency of this technique.